480990117440
480,990,117,440 is an even composite number composed of seven prime numbers multiplied together.
480990117440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 480990117440:
26 × 5 × 7 × 17 × 31 × 433 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 31 × 433 × 941)See below for interesting mathematical facts about the number 480990117440 from the Numbermatics database.
Names of 480990117440
- Cardinal: 480990117440 can be written as Four hundred eighty billion, nine hundred ninety million, one hundred seventeen thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.8099011744 × 1011
Factors of 480990117440
Divisors of 480990117440
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 31 32 34 35 40 56 62 64 68 70 80 85 112 119 124 136 140 155 160 170 217 224 238 248 272 280 310 320 340 433 434 448 476 496 527 544 560 595 620 680 866 868 941 952 992 1054 1085 1088 1120 1190 1240 1360 1732 1736 1882 1904 1984 2108 2165 2170 2240 2380 2480 2635 2720 3031 3464 3472 3689 3764 3808 4216 4330 4340 4705 4760 4960 5270 5440 6062 6587 6928 6944 7361 7378 7528 7616 8432 8660 8680 9410 9520 9920 10540 12124 13174 13423 13856 13888 14722 14756 15056 15155 15997 16864 17320 17360 18445 18820 19040 21080 24248 26348 26846 27712 29171 29444 29512 30112 30310 31994 32935 33728 34640 34720 36805 36890 37640 38080 42160 48496 51527 52696 53692 58342 58888 59024 60224 60620 63988 65870 67115 69280 69440 73610 73780 75280 79985 84320 93961 96992 103054 105392 107384 111979 116684 117776 118048 121240 127976 131740 134230 138560 145855 147220 147560 150560 159970 168640 187922 193984 204197 206108 210784 214768 223958 228191 233368 235552 236096 242480 255952 257635 263480 268460 291710 294440 295120 301120 319940 375844 407453 408394 412216 421568 429536 447916 456382 466736 469805 471104 484960 495907 511904 515270 526960 536920 559895 583420 588880 590240 639880 751688 814906 816788 824432 859072 895832 912764 933472 939610 969920 991814 1020985 1023808 1030540 1053920 1073840 1119790 1140955 1166840 1177760 1180480 1279760 1503376 1597337 1629812 1633576 1648864 1791664 1825528 1866944 1879220 1983628 2037265 2041970 2061080 2107840 2147680 2239580 2281910 2333680 2355520 2479535 2559520 2852171 3006752 3194674 3259624 3267152 3297728 3471349 3583328 3651056 3758440 3967256 4074530 4083940 4122160 4295360 4479160 4563820 4667360 4959070 5119040 5704342 6013504 6389348 6519248 6534304 6926701 6942698 7166656 7302112 7516880 7934512 7986685 8149060 8167880 8244320 8958320 9127640 9334720 9918140 11408684 12631043 12778696 13038496 13068608 13853402 13885396 14260855 14604224 15033760 15869024 15973370 16298120 16335760 16488640 17356745 17916640 18255280 19836280 22817368 25262086 25557392 26076992 27706804 27770792 28521710 30067520 31738048 31946740 32596240 32671520 34633505 34713490 35833280 36510560 39672560 45634736 48486907 50524172 51114784 55413608 55541584 57043420 63155215 63893480 65192480 65343040 69267010 69426980 73021120 79345120 88417301 91269472 96973814 101048344 102229568 110827216 111083168 114086840 126310430 127786960 130384960 138534020 138853960 158690240 176834602 182538944 193947628 202096688 214727731 221654432 222166336 228173680 242434535 252620860 255573920 277068040 277707920 353669204 387895256 404193376 429455462 442086505 443308864 456347360 484869070 505241720 511147840 554136080 555415840 707338408 775790512 808386752 858910924 884173010 912694720 969738140 1010483440 1073638655 1108272160 1110831680 1414676816 1503094117 1551581024 1717821848 1768346020 1939476280 2020966880 2147277310 2216544320 2829353632 3006188234 3103162048 3435643696 3536692040 3878952560 4041933760 4294554620 5658707264 6012376468 6871287392 7073384080 7515470585 7757905120 8589109240 12024752936 13742574784 14146768160 15030941170 15515810240 17178218480 24049505872 28293536320 30061882340 34356436960 48099011744 60123764680 68712873920 96198023488 120247529360 240495058720 480990117440
- Sum of all divisors σ(n): 1435516121088
- Sum of proper divisors (its aliquot sum) s(n): 954526003648
- 480990117440 is an abundant number, because the sum of its proper divisors (954526003648) is greater than itself. Its abundance is 473535886208
Bases of 480990117440
- Binary: 1101111111111010011111010111110010000002
- Hexadecimal: 0x6FFD3EBE40
- Base-36: 64YP3HVK
Squares and roots of 480990117440
- 480990117440 squared (4809901174402) is 231351493074944992153600
- 480990117440 cubed (4809901174403) is 111277781824037138497499942518784000
-
The
square root of 480990117440 is 693534.5106337535 -
The
cube root of 480990117440 is 7835.1151664875
Scales and comparisons
How big is 480990117440?- 480,990,117,440 seconds is equal to 15,293 years, 51 weeks, 6 days, 5 hours, 57 minutes, 20 seconds.
-
To count from 1 to 480,990,117,440 would take you about thirty thousand, five hundred eighty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 480990117440 cubic inches would be around 652.9 feet tall.
Recreational maths with 480990117440
- 480990117440 backwards is 044711099084
- The number of decimal digits it has is: 12
- The sum of 480990117440's digits is 47
- More coming soon!
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